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Optimal Shape Design with Applications to Aerodynamics

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Shape Optimization and Free Boundaries

Part of the book series: NATO ASI Series ((ASIC,volume 380))

Abstract

The purpose of thes e lectures is to show the use of numerical methods in shape optimization. We will also need to review some optimization methods and the finite element method (FEM). Specifically, we will consider : minimum drag problems for laminar flows; potential flows without lift; potential flows and Euler flows, riblets.

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References

  1. O. Pironneau, Optimal Shape Design for Elliptic Systems, Springer-Verlag, 1984.

    Google Scholar 

  2. F. Angrand, Methodes numeriques pour des problernes de conception optimale en aerodynarnique, Thesis, Université Paris VI, 1980.

    Google Scholar 

  3. G. Arumugam, O. Pironneau, On the problems of riblets as a drag reduction device, Optimal Control Appl. Methods 10 (1989).

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  4. G. Arumugam, Optimisation de forme pour quelques problemes de Mécanique des Fluides, Thesis, Université Paris VI, 1987.

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  5. A. Jameson, Automatic Design of Transonic Airfoils to Reduce the Shock Induced Pressure Drag, Princeton University, Princeton, N.J., USA.

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  6. R. Mäkinen, Finite element design sensitivity analysis for nonlinear potential problems, University of Jyväskylä, Finland.

    Google Scholar 

  7. D. Chenais, On the existence of solution in a domain identification problem, J. Math. Anal. Appl. 52 (2) (1975), 189–219.

    Google Scholar 

  8. O. Pironneau, On optimum design in fluid mechanics, J. Fluid Mech. 64 (1974), 97–110.

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  9. O. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flow, Gordon & Breach, New York, 1963.

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  10. O. Pironneau, On optimum profiles in Stokes flow, J. Fluid Mech. 59 (1973),117–128.

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  11. L.D. Landau, E.M. Lifshitz, Fluid Mechanics, Pergamon Press, 1987.

    Google Scholar 

  12. G.K. Batchelor, An Introduction to Fluid Dynamics , Cambridge University Press, 1967.

    Google Scholar 

  13. A. Vossinis, Optimization algorithms for optimum shape design problems, to appear.

    Google Scholar 

  14. J.-C. Simon, Contrôle optimal par rapport au domaine, Thesis, Université Paris VI, 1977.

    Google Scholar 

  15. J.-C. Simon, Differentiation with respect to the domain in boundary value problems, Numer. Funct. Anal. Optim. 2 (1980), 649–687.

    Google Scholar 

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© 1992 Kluwer Academic Publishers

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Pironneau, O., I.N.R.I.A.. (1992). Optimal Shape Design with Applications to Aerodynamics. In: Delfour, M.C., Sabidussi, G. (eds) Shape Optimization and Free Boundaries. NATO ASI Series, vol 380. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2710-3_6

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  • DOI: https://doi.org/10.1007/978-94-011-2710-3_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-1944-3

  • Online ISBN: 978-94-011-2710-3

  • eBook Packages: Springer Book Archive

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